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Finding the Fourth Proportional to 340,878.40, 511,317.60 and 257,934.40

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Solution

The fourth proportional to 340,878.40, 511,317.60 and 257,934.40 is: 386,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,878.40 : 511,317.60 = 257,934.40 : x
  2. Step 2: Convert to fraction form
    340,878.40/511,317.60 = 257,934.40/x
  3. Step 3: Cross multiply
    340,878.40x = 511,317.60 × 257,934.40
  4. Step 4: Simplify right side
    340,878.40x = 131,886,398,365.44
  5. Step 5: Solve for x
    x = 131,886,398,365.44/340,878.40
  6. Step 6: Final answer
    x = 386,901.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.